Shifting local exponents of Picard-Fuchs operators

Fuente: arXiv
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Autor principal: Chmiel, Tymoteusz
Formato: Preprint
Publicado: 2026
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author Chmiel, Tymoteusz
author_facet Chmiel, Tymoteusz
contents We investigate the operation of shifting local exponents and study its effects on the monodromy representation of a one-parameter family of Calabi-Yau threefolds. The main result is a characterization of shifts of geometric operators which are also geometric. We use this description to construct some Picard-Fuchs operators with interesting properties.
format Preprint
id arxiv_https___arxiv_org_abs_2603_22614
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Shifting local exponents of Picard-Fuchs operators
Chmiel, Tymoteusz
Algebraic Geometry
We investigate the operation of shifting local exponents and study its effects on the monodromy representation of a one-parameter family of Calabi-Yau threefolds. The main result is a characterization of shifts of geometric operators which are also geometric. We use this description to construct some Picard-Fuchs operators with interesting properties.
title Shifting local exponents of Picard-Fuchs operators
topic Algebraic Geometry
url https://arxiv.org/abs/2603.22614